Predicting, resolutions and the topological representation of operators on Banach spaces C(K)

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• Piotr Koszmider, Mathematical Institute of the Polish of Academy of Sciences
• Monday 13 February 2012, 15:15-16:15
• MR5.

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We will describe three quite new classes of compact (nonmetrizable) Hausdorff spaces which are motivated by problems concerning Banach spaces and the algebras of operators on them:

Ks such that C(K)s have few operators; Ls such that C(L)s do not have support sets, and Ms which are not Radon-Nikodym but are continuous images of Radon-Nikodym compacta.

These classes are quite different and have diverse applications but the methods used in their constructions share some points: combinatorial predicting, topological representation of operators and the use topological resolutions.

This talk is part of the Analysis Seminar series.

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